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27128137 = 29232257
BaseRepresentation
bin110011101111…
…1000101001001
31220001020210211
41213133011021
523421100022
62405241121
7446404531
oct147370511
956036724
1027128137
1114349853
1291031a1
13580aa6a
1438624c1
1525ace77
hex19df149

27128137 has 6 divisors (see below), whose sum is σ = 28096718. Its totient is φ = 26191872.

The previous prime is 27128117. The next prime is 27128161. The reversal of 27128137 is 73182172.

It can be written as a sum of positive squares in 3 ways, for example, as 2238016 + 24890121 = 1496^2 + 4989^2 .

It is a de Polignac number, because none of the positive numbers 2k-27128137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27128099 and 27128108.

It is not an unprimeable number, because it can be changed into a prime (27128117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15288 + ... + 16969.

Almost surely, 227128137 is an apocalyptic number.

It is an amenable number.

27128137 is a deficient number, since it is larger than the sum of its proper divisors (968581).

27128137 is an equidigital number, since it uses as much as digits as its factorization.

27128137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32315 (or 32286 counting only the distinct ones).

The product of its digits is 4704, while the sum is 31.

The square root of 27128137 is about 5208.4678169304. The cubic root of 27128137 is about 300.4738326961.

It can be divided in two parts, 27 and 128137, that added together give a square (128164 = 3582).

The spelling of 27128137 in words is "twenty-seven million, one hundred twenty-eight thousand, one hundred thirty-seven".

Divisors: 1 29 841 32257 935453 27128137